# Noncyclic subgroups of multiplicative group of integers mod n

I want to find an $$n$$ such that $$\mathbb{Z}/n\mathbb{Z}^{\times}$$ has a noncyclic subgroup, and I’m struggling to think of an example of such a subgroup. How can I construct such a subgroup without thinking about the cyclic subgroups generated by the elements of $$\mathbb{Z}/n\mathbb{Z}^{\times}$$?